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Simplifying 0.13x + 0.9(x + -3) = 0.01(4x + -4) Reorder the terms: 0.13x + 0.9(-3 + x) = 0.01(4x + -4) 0.13x + (-3 * 0.9 + x * 0.9) = 0.01(4x + -4) 0.13x + (-2.7 + 0.9x) = 0.01(4x + -4) Reorder the terms: -2.7 + 0.13x + 0.9x = 0.01(4x + -4) Combine like terms: 0.13x + 0.9x = 1.03x -2.7 + 1.03x = 0.01(4x + -4) Reorder the terms: -2.7 + 1.03x = 0.01(-4 + 4x) -2.7 + 1.03x = (-4 * 0.01 + 4x * 0.01) -2.7 + 1.03x = (-0.04 + 0.04x) Solving -2.7 + 1.03x = -0.04 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -2.7 + 1.03x + -0.04x = -0.04 + 0.04x + -0.04x Combine like terms: 1.03x + -0.04x = 0.99x -2.7 + 0.99x = -0.04 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -2.7 + 0.99x = -0.04 + 0.00 -2.7 + 0.99x = -0.04 Add '2.7' to each side of the equation. -2.7 + 2.7 + 0.99x = -0.04 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 0.99x = -0.04 + 2.7 0.99x = -0.04 + 2.7 Combine like terms: -0.04 + 2.7 = 2.66 0.99x = 2.66 Divide each side by '0.99'. x = 2.686868687 Simplifying x = 2.686868687
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